Modelling the dynamics of separation of the components of extractive phosphoric acid during its sorption purification using a modified acid retardation method
Abstract
The modified acid retardation method is one of the most promising methods for purification of components and separating a mixture of salts and acids in industrial processes. The development of theoretical concepts and the construction of mathematical models that can be used to study the process with a different choice of modes of implementation is a necessary step towards its optimization.
In this study, a mathematical model of the phenomenon was proposed, the key features of which are taking into account chemical equilibrium in a multicomponent system and taking into account the inhomogeneous nature of the solution zone inside micropores. Namely, a region near the polymer filaments of the gel sorbent was identified. In this region dipole forces act on the molecules, leading to a change in the concentrations of the components, and, accordingly, changing the equilibrium ratios between different parts of the solution in micropores and the amount of the sorbed substance.
Based on the proposed model, a computer program that allows to carry out numerical calculations and compare them with experimental data was implemented. The model was tested for the results of experiments on the purification of extractive phosphoric acid by a modified acid retardation method, which is applicable to mixtures with poorly soluble components. The experimental curves of output concentrations have a specific form, the key features are the presence of sharp peaks in salt concentrations, the slope of the output curves during washing, etc. It was found that when selecting a certain, small number of coefficients, the model reproduces the entire set of characteristic indicators of the output data with an accuracy not lower than the experimental one and thus makes it possible to determine the sorption characteristics. The proposed model can be used to describe the dynamics of the process in other solutions and sorbents with appropriate modifications.
Downloads
References
Hatch M.J., Dillon J.A. Acid retarda-tion. A simple physical method of separa-tion of strong acids from their salts. I&EC Process Design and Development. 1963; 2(4): 253-264. https://doi.org/10.1021/i260008a001
Ferapontov N.B., Parbuzina L.R., Gorshkov V.I., Strusovskaya N.L., Gagarin A.N. Interaction of cross-linked polyelec-trolytes with solutions of low-molecular-weight electrolytes. Reactive and Func-tional Polymers. 2000; 45(2): 145-153. https://doi.org/10.1016/S1381-5148(00)00023-7
Davankov V., Tsyurupa M., Blinni-kova Z., Pavlova L. Self-concentration ef-fects in preparative SEC of mineral electro-lytes using nanoporous neutral polymeric sorbents. Journal of Separation Science. 2009; 32(1): 64-73. https://doi.org/10.1002/jssc.200800449
Khamizov R.Kh., Krachak A.N., Gruzdeva A.N. Sorbcionnoe koncentriro-vanie i vydelenie RZE iz ekstrakcionnoj fosfornoj kisloty. Sorbtsionnye i khromato-graficheskie protsessy. 2012; 12(1); 29-39. (In Russ.)
Vlasovskikh NS Khamizov S.Kh., Khamizov R.Kh. et al. Izvlechenie primesej RZM i drugih metallov iz fosfor-noj kisloty. Sorbtsionnye i khromato-graficheskie protsessy. 2013; 13(5): 605-617. (In Russ.)
Glotova E.A., Tikhonov N.A., Khamizov R.K., Krachak A.N. Mathemati-cal modeling of a sorption process for the retention of acid from a solution. Moscow Univ. Phys. Bul. 2013; 68(1); 65-70. (In Russ.)
Sidelnikov G.B., Tikhonov N.A., Khamizov R.K., Krachak A.N., Modeliro-vanie i issledovanie sorbcionnogo processa razdeleniya kislot i solej v rastvore. Math. Models Comp. Simulations. 2013; 5(6): 501-510. (In Russ.)
Khamizov R.Kh., Tikhonov N.A., Krachak A.N. et al. Separation of Concen-trated Acid and Salt Solutions in Nanopo-rous Media as the Basis for a New Tech-nology of Processing of Phosphorus-Containing Raw Materials. Geochemistry International, 2016; 54(13); 1221-1235.
Kaznacheev M.A., Tikhonov N.A., Khamizov R.Kh. Influence of impurity components on the precipitation of calcium salts during the purification of phosphoric ac-id on anionite by the method of acid re-tardation. Sorbtsionnye i khromatografich-eskie protsessy. 2021; 21(4): 547-554. https://doi.org/10.17308/sorpchrom.2021.21/3639 (In Russ.)
Brutskus E.B. Fosfaty zheleza. in the collection Proceedings of NIUIF. 1943; 153: 110-115.
Brosheer J.C., Lenfesty E.A., An-derson J.F. Solubility in the system alumi-num phosphate-phosphoric acid-water. J. Am. Cem. Soc. 1954; 76(23); 5951-5956. https://doi.org/10.1021/ja01652a016
Ferapontov N.B., Parbuzina L.R., Gorshkov V.I., Strusovskaya N.L., Gagarin A.N., Ravnovesie v sisteme voda-elektrolit-sshityj polielektrolit. Teoriya i eksperiment. Theory and practice of sorp-tion processes. Voronezh: VSU. 1999; 25: 74-82. (In Russ.)